Is the function \( f \) defined by \[ f(x)=\left\{\begin{array}{cl} 2 x^{2}-3, & \text { if } x ...

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Is the function \( f \) defined by
\[
f(x)=\left\{\begin{array}{cl}
2 x^{2}-3, & \text { if } x \leq 1 \\
5, & \text { if } x1
\end{array}\right.
\]
continuous at \( x=0 \) ? What about its continuity at \( x=1 \) and at \( x=2 \) ?
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